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Refer to diagram 5. In the circuit, C = 65.3 µF, R = 55.9Q and V = 13.4 V. Initially, switch S is open and the capacitor is uncharged. At t = 0 the switch is closed. Find P, -4 the power in Watts, expended by the resistor at time t = 7.21x10* s.

Refer to diagram 5. In the circuit, C = 65.3 µF, R = 55.9Q and V = 13.4 V. Initially, switch S is open and the capacitor is uncharged. At t = 0 the switch is closed. Find P, -4 the power in Watts, expended by the resistor at time t = 7.21x10* s.

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Refer to diagram 5. In the circuit, \( C = 65.3 \, \mu\text{F} \), \( R = 55.9 \, \Omega \), and \( V = 13.4 \, \text{V} \). Initially, switch \( S \) is open and the capacitor is uncharged. At \( t = 0 \) the switch is closed. Find \( P \), the power in Watts, expended by the resistor at time \( t = 7.21 \times 10^{-4} \, \text{s} \).
Transcribed Image Text:Refer to diagram 5. In the circuit, \( C = 65.3 \, \mu\text{F} \), \( R = 55.9 \, \Omega \), and \( V = 13.4 \, \text{V} \). Initially, switch \( S \) is open and the capacitor is uncharged. At \( t = 0 \) the switch is closed. Find \( P \), the power in Watts, expended by the resistor at time \( t = 7.21 \times 10^{-4} \, \text{s} \).
### Diagram 5: RC Circuit This diagram illustrates a simple RC (resistor-capacitor) circuit. The components of the circuit are as follows: - **V**: A voltage source, which provides the electrical power for the circuit. - **R**: A resistor, which opposes the flow of electric current and drops voltage as the current passes through it. - **C**: A capacitor, which stores electrical energy in an electric field and introduces a delay in the circuit's response to changes in voltage. - **Switch (a)**: A component that can open or close the circuit. When the switch is closed, it completes the circuit and allows current to flow. In this circuit, when the switch is closed, the voltage source causes a current to flow, charging the capacitor over time. The resistor controls the rate of charging of the capacitor. This type of circuit is commonly used in electronic timing and filtering applications.
Transcribed Image Text:### Diagram 5: RC Circuit This diagram illustrates a simple RC (resistor-capacitor) circuit. The components of the circuit are as follows: - **V**: A voltage source, which provides the electrical power for the circuit. - **R**: A resistor, which opposes the flow of electric current and drops voltage as the current passes through it. - **C**: A capacitor, which stores electrical energy in an electric field and introduces a delay in the circuit's response to changes in voltage. - **Switch (a)**: A component that can open or close the circuit. When the switch is closed, it completes the circuit and allows current to flow. In this circuit, when the switch is closed, the voltage source causes a current to flow, charging the capacitor over time. The resistor controls the rate of charging of the capacitor. This type of circuit is commonly used in electronic timing and filtering applications.
Expert Solution
Step 1

The charge stored in the capacitor is,

C=QVQ=CV=65.3 μF10-6 F1 μF13.4 V=0.875×10-3 C

The current flows through the circuit is,

I=Qt=0.875×10-3 C7.21×10-4 s=1.21 A

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